Question 3 :
Vertices A, B,C and D of a quadrilateral ABCD lie on a circle. <A is three times <C and <D is two times <B. What is the difference between the measures of <D and <C?
Question 4 :
In an examination, the average score of a student was 67.6. If he would have got 27 more marks in Mathematics, 10 more marks in Computer Science, 18 more marks in History and retained the same marks in other subjects, then his average score would have been 72.6. How may papers were there in the examination?
Question 5 :
Pipes A and B can fill a tank in 12 hours
and 16 hours respectively and pipe C can
empty the full tank in 24 hours. All three
pipes are opened together, but after 4
hours pipe B is closed. In how many hours,
the empty tank will be completely filled?
Question 6 :
In A ABC, <A = 50°. If the bisectors of the angle B and angle C, meet at a point 0, then <BOC is equal to:
Question 7 :
If the 5- digit number 593ab is divisible by 3,7 and 11, then what is the value of (a²- b² + ab)?
Question 8 :
A sum of Rs. 25600 is invested on simple interest partly at 7% per annum and the remaining at 9% per annum. The total interest at the end of 3 years is Rs. 5832. How much money (in Rs.) was invested at 9% per annum?
Question 9 :
A fruit merchant bought some bananas. One fifth of them got rotten and were thrown away. He sold two fifth of the bananas with him at 15% profit and the remaining bananas at 10% profit. Find his overall loss or profit percent?
Question 10 :
In festival season, a shopkeeper allows a
discount of 10% on every item. Even after
giving the discount, he makes a profit of
20%. If he does not give any discount, then
what will be his profit percent? (correct to
2 decimal places)
Question 11 :
Fourth proportion to 12, 18, 6 is equal to the third proportion to 4, k. What is the value of k²?
Question 12 :
In triangle ABC, AD is the bisector of ZA. If AB=5 cm, AC = 7.5 cm and BC = 10 cm, then what is the distance of D from the mid-point of BC (in cm)?
Question 13 :
A circle is inscribed in a quadrilateral ABCD, touching sides AB, BC CD and DA at P, Q, R and S, respectively. If AS = 6 cm, BC = 12 cm, and CR = 5 cm, then the length of AB (in cm) is:
Question 14 :
Radha saves x% of her income. If her income increases by 28% and the expenditure increases by 20%, then her savings increase by 40%. What is the value of x ?
Question 15 :
The area of a square shaped field is 1764 m². The breadth of a rectangular park is 1/6th of the side of the square field and the length is four times its breadth. What is the cost (in Rs.) of levelling the park at Rs. 30 per m²?